Question

√4-3x=4 Решите пажалуйсто

Answer 1

Ответ:

Решение рациональных уравнений.

Answer 2

(корень 4)^2-(3х)^2=4^2
4-9х^2=16
-9x^2=16
x^2=16/9
x=корень 16/9
x=4/3

Answer 3

Sure, I'll be happy to help you solve the equation:

√(4 - 3x) = 4

To solve this equation, we'll follow these steps:

Step 1: Isolate the square root term. Step 2: Square both sides of the equation to eliminate the square root. Step 3: Solve for x. Step 4: Check for extraneous solutions.

Step 1: Isolate the square root term: To isolate the square root term, we need to get rid of the constant 4 on the right side. We can do this by moving it to the left side of the equation:

√(4 - 3x) = 4

Subtract 4 from both sides:

√(4 - 3x) - 4 = 0

Step 2: Square both sides of the equation: Now, we'll square both sides of the equation to eliminate the square root:

(√(4 - 3x) - 4)^2 = 0

Step 3: Solve for x: Expand the left side:

(4 - 3x - 4)^2 = 0

Simplify:

(-3x)^2 = 0

9x^2 = 0

Now, isolate x:

x^2 = 0

Take the square root of both sides:

x = ±√0

Since the square root of 0 is 0:

x = 0

Step 4: Check for extraneous solutions: Let's check if x = 0 is a valid solution in the original equation:

√(4 - 3(0)) = 4

√(4) = 4

2 = 4 (Not true)

The equation is not satisfied when x = 0. Therefore, there are no valid solutions for this equation.

Conclusion: The original equation √(4 - 3x) = 4 has no real solutions.